Question

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope

of the line in simplest form.

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Answer 1

The slope of the line in the graph is 1.

How to find the slope of this line?

A linear equation in the slope-intercept form is written as:

y = ax + b

a is the slope, b is the y-intercept.

If a line passes through two points (x₁, y₁) and (x₂. y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we can see the two points (0, -4) and (4, 0).

Then the slope is:

a = (0 + 4)/(4 - 0) = 1